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单词 singular value decomposition
释义
singular value decomposition

Mathematics
  • For an m×n matrix M of rank r, there exists an orthogonal m×m matrix P and an orthogonal n×n matrix Q such that

    PMQ=[D000],

    where D is an r×r diagonal matrix with decreasing positive entries. The pseudoinverse M+ of M is given by

    M+=Q[D1000]P.

    Compare spectral theorem.


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